{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,3,18]],"date-time":"2026-03-18T20:31:30Z","timestamp":1773865890839,"version":"3.50.1"},"reference-count":29,"publisher":"MDPI AG","issue":"8","license":[{"start":{"date-parts":[[2019,8,7]],"date-time":"2019-08-07T00:00:00Z","timestamp":1565136000000},"content-version":"vor","delay-in-days":0,"URL":"https:\/\/creativecommons.org\/licenses\/by\/4.0\/"}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Entropy"],"abstract":"<jats:p>A measure     D [  t 1  ,  t 2  ]     for the amount of dynamical evolution exhibited by a quantum system during a time interval     [  t 1  ,  t 2  ]     is defined in terms of how distinguishable from each other are, on average, the states of the system at different times. We investigate some properties of the measure    D    showing that, for increasing values of the interval\u2019s duration, the measure quickly reaches an asymptotic value given by the linear entropy of the energy distribution associated with the system\u2019s (pure) quantum state. This leads to the formulation of an entropic variational problem characterizing the quantum states that exhibit the largest amount of dynamical evolution under energy constraints given by the expectation value of the energy.<\/jats:p>","DOI":"10.3390\/e21080770","type":"journal-article","created":{"date-parts":[[2019,8,7]],"date-time":"2019-08-07T10:56:38Z","timestamp":1565175398000},"page":"770","update-policy":"https:\/\/doi.org\/10.3390\/mdpi_crossmark_policy","source":"Crossref","is-referenced-by-count":3,"title":["Entropic Characterization of Quantum States with Maximal Evolution under Given Energy Constraints"],"prefix":"10.3390","volume":"21","author":[{"ORCID":"https:\/\/orcid.org\/0000-0001-5447-8032","authenticated-orcid":false,"given":"Ana P.","family":"Majtey","sequence":"first","affiliation":[{"name":"Facultad de Matem\u00e1tica, Astronom\u00eda, F\u00edsica y Computaci\u00f3n, Universidad Nacional de C\u00f3rdoba, Av. Medina Allende s\/n, Ciudad Universitaria, C\u00f3rdoba X5000HUA, Argentina"},{"name":"Instituto de F\u00edsica Enrique Gaviola (IFEG), Consejo Nacional de Investigaciones Cient\u00edficas y T\u00e9cnicas de la Rep\u00fablica Argentina (CONICET), C\u00f3rdoba X5000HUA, Argentina"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Andrea","family":"Vald\u00e9s-Hern\u00e1ndez","sequence":"additional","affiliation":[{"name":"Instituto de F\u00edsica, Universidad Nacional Aut\u00f3noma de M\u00e9xico, Apartado Postal 20-364, Ciudad de M\u00e9xico, Mexico"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"C\u00e9sar G.","family":"Maglione","sequence":"additional","affiliation":[{"name":"Facultad de Matem\u00e1tica, Astronom\u00eda, F\u00edsica y Computaci\u00f3n, Universidad Nacional de C\u00f3rdoba, Av. Medina Allende s\/n, Ciudad Universitaria, C\u00f3rdoba X5000HUA, Argentina"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Angel R.","family":"Plastino","sequence":"additional","affiliation":[{"name":"CeBio y Departamento de Ciencias B\u00e1sicas, Universidad Nacional del Noroeste de la Prov. de Buenos Aires, UNNOBA, CONICET, Roque Saenz Pe\u00f1a 456, Jun\u00edn B6000, Argentina"}],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"1968","published-online":{"date-parts":[[2019,8,7]]},"reference":[{"key":"ref_1","doi-asserted-by":"crossref","first-page":"160502","DOI":"10.1103\/PhysRevLett.103.160502","article-title":"Fundamental Limit on the Rate of Quantum Dynamics: The Unified Bound Is Tight","volume":"103","author":"Levitin","year":"2009","journal-title":"Phys. Rev. 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